10057264 has 20 divisors (see below), whose sum is σ = 22269904. Its totient is φ = 4310208.

The previous prime is 10057249. The next prime is 10057273. The reversal of 10057264 is 46275001.

It is a super-2 number, since 2×10057264² = 202297118331392, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44787 + ... + 45010.

Almost surely, 2^10057264 is an apocalyptic number.

10057264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10057264 is an abundant number, since it is smaller than the sum of its proper divisors (12212640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10057264 is an equidigital number, since it uses as much as digits as its factorization.

10057264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89812 (or 89806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10057264 is about 3171.3189685051. The cubic root of 10057264 is about 215.8539250125.

The spelling of 10057264 in words is "ten million, fifty-seven thousand, two hundred sixty-four".